task stringlengths 0 154k | __index_level_0__ int64 0 39.2k |
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Ivan is a programming teacher. During the academic year, he plans to give n lectures on n different topics. Each topic should be used in exactly one lecture. Ivan wants to choose which topic will he explain during the 1-st, 2-nd, ..., n-th lecture — formally, he wants to choose some permutation of integers from 1 to n ... | 24,700 |
A family consisting of father bear, mother bear and son bear owns three cars. Father bear can climb into the largest car and he likes it. Also, mother bear can climb into the middle car and she likes it. Moreover, son bear can climb into the smallest car and he likes it. It's known that the largest car is strictly larg... | 24,701 |
Two players play a game. The game is played on a rectangular board with n × m squares. At the beginning of the game two different squares of the board have two chips. The first player's goal is to shift the chips to the same square. The second player aims to stop the first one with a tube of superglue.
We'll describe ... | 24,702 |
Sam is dangerous boy. He like to fight with everyone who is more powerful than him. One day, Sam enters in the meeting of all gangsters of the city. He wants to fight with everyone who is more powerful than him.
But one man know his motive and tell to all gangsters about Sam. But gangsters don't know whether the Sam i... | 24,703 |
problem
AOR Ika likes rooted trees with a fractal (self-similar) structure. Consider using the weighted rooted tree $ T $ consisting of $ N $ vertices to represent the rooted tree $ T'$ with the following fractal structure.
* $ T'$ is the addition of a tree rooted at $ x $ and having a tree structure similar to $ T $... | 24,704 |
Given are two sequences A and B, both of length N. A and B are each sorted in the ascending order. Check if it is possible to reorder the terms of B so that for each i (1 \leq i \leq N) A_i \neq B_i holds, and if it is possible, output any of the reorderings that achieve it.
Constraints
* 1\leq N \leq 2 \times 10^5
*... | 24,705 |
You are given a non-empty string s consisting of lowercase letters. Find the number of pairs of non-overlapping palindromic substrings of this string.
In a more formal way, you have to find the quantity of tuples (a, b, x, y) such that 1 ≤ a ≤ b < x ≤ y ≤ |s| and substrings s[a... b], s[x... y] are palindromes.
A pal... | 24,706 |
There is a cave.
The cave has N rooms and M passages. The rooms are numbered 1 to N, and the passages are numbered 1 to M. Passage i connects Room A_i and Room B_i bidirectionally. One can travel between any two rooms by traversing passages. Room 1 is a special room with an entrance from the outside.
It is dark in th... | 24,707 |
A group of n merry programmers celebrate Robert Floyd's birthday. Polucarpus has got an honourable task of pouring Ber-Cola to everybody. Pouring the same amount of Ber-Cola to everybody is really important. In other words, the drink's volume in each of the n mugs must be the same.
Polycarpus has already began the pro... | 24,708 |
Kleofáš is participating in an n-thlon - a tournament consisting of n different competitions in n different disciplines (numbered 1 through n). There are m participants in the n-thlon and each of them participates in all competitions.
In each of these n competitions, the participants are given ranks from 1 to m in suc... | 24,709 |
Ikta, who was in trouble because he couldn't come up with an idea for the problem to be presented at the training camp of the programming contest, consulted with a friend one day.
Mr. Ikta "I want to create a problem that cannot be solved without using such an algorithm. Is there anything?"
Friend "Then why not think... | 24,710 |
Example
Input
2 10
Warsaw Petersburg
3
Kiev Moscow Petersburg
150 120
3
Moscow Minsk Warsaw
100 150
Output
380 1 | 24,711 |
You are given a permutation of length n. Recall that the permutation is an array consisting of n distinct integers from 1 to n in arbitrary order. For example, [2, 3, 1, 5, 4] is a permutation, but [1, 2, 2] is not a permutation (2 appears twice in the array) and [1, 3, 4] is also not a permutation (n=3 but there is 4 ... | 24,712 |
n boys and m girls came to the party. Each boy presented each girl some integer number of sweets (possibly zero). All boys are numbered with integers from 1 to n and all girls are numbered with integers from 1 to m. For all 1 ≤ i ≤ n the minimal number of sweets, which i-th boy presented to some girl is equal to b_i an... | 24,713 |
There is a kangaroo at coordinate 0 on an infinite number line that runs from left to right, at time 0. During the period between time i-1 and time i, the kangaroo can either stay at his position, or perform a jump of length exactly i to the left or to the right. That is, if his coordinate at time i-1 is x, he can be a... | 24,714 |
In the School of Magic in Dirtpolis a lot of interesting objects are studied on Computer Science lessons.
Consider, for example, the magic multiset. If you try to add an integer to it that is already presented in the multiset, each element in the multiset duplicates. For example, if you try to add the integer 2 to the... | 24,715 |
Vasya has his favourite number n. He wants to split it to some non-zero digits. It means, that he wants to choose some digits d_1, d_2, …, d_k, such that 1 ≤ d_i ≤ 9 for all i and d_1 + d_2 + … + d_k = n.
Vasya likes beauty in everything, so he wants to find any solution with the minimal possible number of different d... | 24,716 |
There are n lamps on a line, numbered from 1 to n. Each one has an initial state off (0) or on (1).
You're given k subsets A_1, …, A_k of \{1, 2, ..., n\}, such that the intersection of any three subsets is empty. In other words, for all 1 ≤ i_1 < i_2 < i_3 ≤ k, A_{i_1} ∩ A_{i_2} ∩ A_{i_3} = ∅.
In one operation, you ... | 24,717 |
Group of Berland scientists, with whom you have a close business relationship, makes a research in the area of peaceful nuclear energy. In particular, they found that a group of four nanobots, placed on a surface of a plate, can run a powerful chain reaction under certain conditions.
To be precise, researchers introd... | 24,718 |
A dice is a cube, its faces contain distinct integers from 1 to 6 as black points. The sum of numbers at the opposite dice faces always equals 7. Please note that there are only two dice (these dices are mirror of each other) that satisfy the given constraints (both of them are shown on the picture on the left).
<imag... | 24,719 |
Petya loves lucky numbers. We all know that lucky numbers are the positive integers whose decimal representations contain only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Petya wonders eagerly what minimum lucky number has the sum of digits equal to n. Help him cope with... | 24,720 |
A root tree is a directed acyclic graph that contains one node (root), from which there is exactly one path to any other node.
A root tree is binary if each node has at most two outgoing arcs.
When a binary tree is painted on the plane, all arcs should be directed from top to bottom. That is, each arc going from u to... | 24,721 |
In Finite Encyclopedia of Integer Sequences (FEIS), all integer sequences of lengths between 1 and N (inclusive) consisting of integers between 1 and K (inclusive) are listed.
Let the total number of sequences listed in FEIS be X. Among those sequences, find the (X/2)-th (rounded up to the nearest integer) lexicograph... | 24,722 |
Vinay loves stories on serial killers. He is hypnotized to the stories of The Zodiac Killer. Zodiac was a serial killer in USA in late 1960s and early 1970s. He never revealed his original identity but named himself as Zodiac on the letters he posted to police and news papers. He used to post them about the murders he ... | 24,723 |
wHAT DO WE NEED cAPS LOCK FOR?
Caps lock is a computer keyboard key. Pressing it sets an input mode in which typed letters are capital by default. If it is pressed by accident, it leads to accidents like the one we had in the first passage.
Let's consider that a word has been typed with the Caps lock key accidentall... | 24,724 |
An array b is called to be a subarray of a if it forms a continuous subsequence of a, that is, if it is equal to a_l, a_{l + 1}, …, a_r for some l, r.
Suppose m is some known constant. For any array, having m or more elements, let's define it's beauty as the sum of m largest elements of that array. For example:
* ... | 24,725 |
Bees Alice and Alesya gave beekeeper Polina famous card game "Set" as a Christmas present. The deck consists of cards that vary in four features across three options for each kind of feature: number of shapes, shape, shading, and color. In this game, some combinations of three cards are said to make up a set. For every... | 24,726 |
The HR manager was disappointed again. The last applicant failed the interview the same way as 24 previous ones. "Do I give such a hard task?" — the HR manager thought. "Just raise number 5 to the power of n and get last two digits of the number. Yes, of course, n can be rather big, and one cannot find the power using ... | 24,727 |
Yet another round on DecoForces is coming! Grandpa Maks wanted to participate in it but someone has stolen his precious sofa! And how can one perform well with such a major loss?
Fortunately, the thief had left a note for Grandpa Maks. This note got Maks to the sofa storehouse. Still he had no idea which sofa belongs ... | 24,728 |
You are given a weighted directed graph, consisting of n vertices and m edges. You should answer q queries of two types:
* 1 v — find the length of shortest path from vertex 1 to vertex v.
* 2 c l1 l2 ... lc — add 1 to weights of edges with indices l1, l2, ..., lc.
Input
The first line of input data contains i... | 24,729 |
A soldier wants to buy w bananas in the shop. He has to pay k dollars for the first banana, 2k dollars for the second one and so on (in other words, he has to pay i·k dollars for the i-th banana).
He has n dollars. How many dollars does he have to borrow from his friend soldier to buy w bananas?
Input
The first lin... | 24,730 |
Jack loved his house very much, because his lovely cats take a nap on the wall of his house almost every day. Jack loved cats very much.
Jack decided to keep an observation diary of the cats as a free study during the summer vacation. After observing for a while, he noticed an interesting feature of the cats.
The fen... | 24,731 |
Squid loves painting vertices in graphs.
There is a simple undirected graph consisting of N vertices numbered 1 through N, and M edges. Initially, all the vertices are painted in color 0. The i-th edge bidirectionally connects two vertices a_i and b_i. The length of every edge is 1.
Squid performed Q operations on th... | 24,732 |
The Holmes children are fighting over who amongst them is the cleverest.
Mycroft asked Sherlock and Eurus to find value of f(n), where f(1) = 1 and for n ≥ 2, f(n) is the number of distinct ordered positive integer pairs (x, y) that satisfy x + y = n and gcd(x, y) = 1. The integer gcd(a, b) is the greatest common divi... | 24,733 |
One Saturday afternoon Egor was playing his favorite RPG game. While discovering new lands and territories, he came across the following sign:
<image>
Egor is a passionate player, but he is an algorithmician as well. That's why he instantly spotted four common letters in two words on the sign above — if we permute th... | 24,734 |
Vitya loves programming and problem solving, but sometimes, to distract himself a little, he plays computer games. Once he found a new interesting game about tanks, and he liked it so much that he went through almost all levels in one day. Remained only the last level, which was too tricky. Then Vitya remembered that h... | 24,735 |
See Russian Translation
The end semester exams are now approaching. Ritu is the Computer Science Teacher of Coder Public School. He has been assigned the task of preparing good algorithmic problems for the students by the Dean of the school.
Ritu like every other teacher has his own favorite topics. Ritu likes matri... | 24,736 |
Problem
At Abandoned University, N waste materials that give off a strong scent are lined up in a row. The waste materials are numbered from 1 to N in order, and the i-th waste material gives off a strong ai scent.
At work, Licht was asked to find the sum of the scents of all the waste wood. If the total scent is M o... | 24,737 |
Polycarp has built his own web service. Being a modern web service it includes login feature. And that always implies password security problems.
Polycarp decided to store the hash of the password, generated by the following algorithm:
1. take the password p, consisting of lowercase Latin letters, and shuffle the l... | 24,738 |
Given are a positive integer N and a string S of length N consisting of lowercase English letters.
Determine whether the string is a concatenation of two copies of some string. That is, determine whether there is a string T such that S = T + T.
Constraints
* 1 \leq N \leq 100
* S consists of lowercase English letter... | 24,739 |
You like playing chess tournaments online.
In your last tournament you played n games. For the sake of this problem, each chess game is either won or lost (no draws). When you lose a game you get 0 points. When you win you get 1 or 2 points: if you have won also the previous game you get 2 points, otherwise you get 1 ... | 24,740 |
You have an array a with length n, you can perform operations. Each operation is like this: choose two adjacent elements from a, say x and y, and replace one of them with gcd(x, y), where gcd denotes the [greatest common divisor](https://en.wikipedia.org/wiki/Greatest_common_divisor).
What is the minimum number of ope... | 24,741 |
National Association of Tennis is planning to hold a tennis competition among professional players. The competition is going to be a knockout tournament, and you are assigned the task to make the arrangement of players in the tournament.
You are given the detailed report about all participants of the competition. The ... | 24,742 |
There are n detachments on the surface, numbered from 1 to n, the i-th detachment is placed in a point with coordinates (x_i, y_i). All detachments are placed in different points.
Brimstone should visit each detachment at least once. You can choose the detachment where Brimstone starts.
To move from one detachment to... | 24,743 |
Berland, 2016. The exchange rate of currency you all know against the burle has increased so much that to simplify the calculations, its fractional part was neglected and the exchange rate is now assumed to be an integer.
Reliable sources have informed the financier Anton of some information about the exchange rate of... | 24,744 |
Petya is a beginner programmer. He has already mastered the basics of the C++ language and moved on to learning algorithms. The first algorithm he encountered was insertion sort. Petya has already written the code that implements this algorithm and sorts the given integer zero-indexed array a of size n in the non-decre... | 24,745 |
A game field is a strip of 1 × n square cells. In some cells there are Packmen, in some cells — asterisks, other cells are empty.
Packman can move to neighboring cell in 1 time unit. If there is an asterisk in the target cell then Packman eats it. Packman doesn't spend any time to eat an asterisk.
In the initial mome... | 24,746 |
Given n numbers, you can perform the following operation any number of times : Choose any subset of the numbers (possibly empty), none of which are 0. Decrement the numbers in the subset by 1, and increment the numbers not in the subset by K.
Is it possible to perform operations such that exactly n - 1 numbers becom... | 24,747 |
Takahashi and Aoki will take N exams numbered 1 to N. They have decided to compete in these exams. The winner will be determined as follows:
* For each exam i, Takahashi decides its importance c_i, which must be an integer between l_i and u_i (inclusive).
* Let A be \sum_{i=1}^{N} c_i \times (Takahashi's score on Exa... | 24,748 |
Emuskald was hired to design an artificial waterfall according to the latest trends in landscape architecture. A modern artificial waterfall consists of multiple horizontal panels affixed to a wide flat wall. The water flows down the top of the wall from panel to panel until it reaches the bottom of the wall.
The wall... | 24,749 |
'Jeopardy!' is an intellectual game where players answer questions and earn points. Company Q conducts a simplified 'Jeopardy!' tournament among the best IT companies. By a lucky coincidence, the old rivals made it to the finals: company R1 and company R2.
The finals will have n questions, m of them are auction quest... | 24,750 |
A calculator scholar has discovered a strange life form called an electronic fly that lives in electronic space. While observing the behavior of the electronic flies, the electronic flies at the (x, y, z) point in this space then move to (x', y', z') indicated by the following rules. I found out.
<image>
However, a1... | 24,751 |
Recently, Berland faces federalization requests more and more often. The proponents propose to divide the country into separate states. Moreover, they demand that there is a state which includes exactly k towns.
Currently, Berland has n towns, some pairs of them are connected by bilateral roads. Berland has only n - 1... | 24,752 |
Ori and Sein have overcome many difficult challenges. They finally lit the Shrouded Lantern and found Gumon Seal, the key to the Forlorn Ruins. When they tried to open the door to the ruins... nothing happened.
Ori was very surprised, but Sein gave the explanation quickly: clever Gumon decided to make an additional de... | 24,753 |
You are given a string s of even length n. String s is binary, in other words, consists only of 0's and 1's.
String s has exactly n/2 zeroes and n/2 ones (n is even).
In one operation you can reverse any substring of s. A substring of a string is a contiguous subsequence of that string.
What is the minimum number of... | 24,754 |
«Next please», — the princess called and cast an estimating glance at the next groom.
The princess intends to choose the most worthy groom, this is, the richest one. Whenever she sees a groom who is more rich than each of the previous ones, she says a measured «Oh...». Whenever the groom is richer than all previous on... | 24,755 |
Peter wrote on the board a strictly increasing sequence of positive integers a1, a2, ..., an. Then Vasil replaced some digits in the numbers of this sequence by question marks. Thus, each question mark corresponds to exactly one lost digit.
Restore the the original sequence knowing digits remaining on the board.
Inpu... | 24,756 |
At last, we have successfully neutralized all the cyber weapons of mass destruction, saved our university along the way and lay to waste another evil scheme in the process. All that separates that hacker from us now is his last lair of security, his ultimate firewall. It is imperative for us to break through this last ... | 24,757 |
Given an integer x, find 2 integers a and b such that:
* 1 ≤ a,b ≤ x
* b divides a (a is divisible by b).
* a ⋅ b>x.
* a/b<x.
Input
The only line contains the integer x (1 ≤ x ≤ 100).
Output
You should output two integers a and b, satisfying the given conditions, separated by a space. If no pair of in... | 24,758 |
Polycarpus likes studying at school a lot and he is always diligent about his homework. Polycarpus has never had any problems with natural sciences as his great-great-grandfather was the great physicist Seinstein. On the other hand though, Polycarpus has never had an easy time with history.
Everybody knows that the Wo... | 24,759 |
There are n positive integers a_1, a_2, ..., a_n. For the one move you can choose any even value c and divide by two all elements that equal c.
For example, if a=[6,8,12,6,3,12] and you choose c=6, and a is transformed into a=[3,8,12,3,3,12] after the move.
You need to find the minimal number of moves for transformin... | 24,760 |
Chef loves lucky numbers. Everybody knows that lucky numbers are positive integers whose decimal representation contains only the lucky digits 4 and 7. For example, numbers 47, 744, 4 are lucky and 5, 17, 467 are not.
Chef has a positive integer N. He can apply any of the following operations as many times as he want... | 24,761 |
Each item in the game has a level. The higher the level is, the higher basic parameters the item has. We shall consider only the following basic parameters: attack (atk), defense (def) and resistance to different types of impact (res).
Each item belongs to one class. In this problem we will only consider three of such... | 24,762 |
You are given a rectangular parallelepiped with sides of positive integer lengths A, B and C.
Find the number of different groups of three integers (a, b, c) such that 1≤ a≤ b≤ c and parallelepiped A× B× C can be paved with parallelepipeds a× b× c. Note, that all small parallelepipeds have to be rotated in the same d... | 24,763 |
Our old friend Alexey has finally entered the University of City N — the Berland capital. Alexey expected his father to get him a place to live in but his father said it was high time for Alexey to practice some financial independence. So, Alexey is living in a dorm.
The dorm has exactly one straight dryer — a 100 ce... | 24,764 |
You are given a string t consisting of n lowercase Latin letters and an integer number k.
Let's define a substring of some string s with indices from l to r as s[l ... r].
Your task is to construct such string s of minimum possible length that there are exactly k positions i such that s[i ... i + n - 1] = t. In other... | 24,765 |
You are given an array a with n distinct integers. Construct an array b by permuting a such that for every non-empty subset of indices S = {x1, x2, ..., xk} (1 ≤ xi ≤ n, 0 < k < n) the sums of elements on that positions in a and b are different, i. e.
<image>
Input
The first line contains one integer n (1 ≤ n ≤ 22)... | 24,766 |
The new ICPC town has N junctions (numbered from 1 to N) which are connected by N-1 roads. It is possible from one junction to go to any other junctions by going through one or more roads. To make sure all the junctions are well-maintained, the government environment agency is planning to deploy their newest advanced c... | 24,767 |
3:33
It's possible for all the digits displayed on a digital clock in the hours:minutes format to be identical. The time shown above (3:33) is an example of such a situation. Other examples are 2:2 and 1:11. Note that the digits of 33:33 are identical, but it is not a valid time on a usual digital clock.
The above exam... | 24,768 |
Recently Vladik discovered a new entertainment — coding bots for social networks. He would like to use machine learning in his bots so now he want to prepare some learning data for them.
At first, he need to download t chats. Vladik coded a script which should have downloaded the chats, however, something went wrong. ... | 24,769 |
Ikshu and his machine gun
To celebrate his new year Ikshu went to play "beyond to beyond" (abbreviated as BOB) with his friends.
BOB can be described as follows :
It consists of Infinite boxes arranged one over another, Lowest box being 1.
Given a list 'L' of indices, Ikshu needs to knockoff L[i]th box for 0 ≤ i<|L| w... | 24,770 |
An oriented weighted forest is an acyclic weighted digraph in which from each vertex at most one edge goes.
The root of vertex v of an oriented weighted forest is a vertex from which no edge goes and which can be reached from vertex v moving along the edges of the weighted oriented forest. We denote the root of vertex... | 24,771 |
[Æsir - CHAOS](https://soundcloud.com/kivawu/aesir-chaos)
[Æsir - V.](https://soundcloud.com/kivawu/aesir-v)
"Everything has been planned out. No more hidden concerns. The condition of Cytus is also perfect.
The time right now...... 00:01:12......
It's time."
The emotion samples are now sufficient. After almost 3 ... | 24,772 |
Two players, A and B, play the game using cards with numbers from 0 to 9. First, the two arrange the given n cards face down in a horizontal row. After that, the two players turn their cards face up one by one from the left, and the owner of the card with the larger number takes the two cards. At this time, the sum of ... | 24,773 |
Given is an integer S. Find a combination of six integers X_1,Y_1,X_2,Y_2,X_3, and Y_3 that satisfies all of the following conditions:
* 0 \leq X_1,Y_1,X_2,Y_2,X_3,Y_3 \leq 10^9
* The area of the triangle in a two-dimensional plane whose vertices are (X_1,Y_1),(X_2,Y_2), and (X_3,Y_3) is S/2.
We can prove that ther... | 24,774 |
Andre has very specific tastes. Recently he started falling in love with arrays.
Andre calls an nonempty array b good, if sum of its elements is divisible by the length of this array. For example, array [2, 3, 1] is good, as sum of its elements — 6 — is divisible by 3, but array [1, 1, 2, 3] isn't good, as 7 isn't div... | 24,775 |
There are N squares numbered 1 to N from left to right. Each square has a character written on it, and Square i has a letter s_i. Besides, there is initially one golem on each square.
Snuke cast Q spells to move the golems.
The i-th spell consisted of two characters t_i and d_i, where d_i is `L` or `R`. When Snuke ca... | 24,776 |
On February 14 Denis decided to give Valentine to Nastya and did not come up with anything better than to draw a huge red heart on the door of the length k (k ≥ 3). Nastya was very confused by this present, so she decided to break the door, throwing it on the mountains.
Mountains are described by a sequence of heights... | 24,777 |
In the country of Never, there are n cities and a well-developed road system. There is exactly one bidirectional road between every pair of cities, thus, there are as many as <image> roads! No two roads intersect, and no road passes through intermediate cities. The art of building tunnels and bridges has been mastered ... | 24,778 |
The Cybermen solved that first test much quicker than the Daleks. Luckily for us, the Daleks were angry (shocking!) and they destroyed some of the Cybermen.
After the fighting stopped, Heidi gave them another task to waste their time on.
There are n points on a plane. Given a radius r, find the maximum number of poin... | 24,779 |
Hilbert's Hotel is a very unusual hotel since the number of rooms is infinite! In fact, there is exactly one room for every integer, including zero and negative integers. Even stranger, the hotel is currently at full capacity, meaning there is exactly one guest in every room. The hotel's manager, David Hilbert himself,... | 24,780 |
Little Jhool considers Jaadu to be a very close friend of his. But, he ends up having some misunderstanding with him a lot of times, because Jaadu's English isn't perfect, and Little Jhool sucks at the language Jaadu speaks. So, he's in a fix - since he knows that Jaadu has got magical powers, he asks him to help so as... | 24,781 |
Please notice the unusual memory limit of this problem.
Orac likes games. Recently he came up with the new game, "Game of Life".
You should play this game on a black and white grid with n rows and m columns. Each cell is either black or white.
For each iteration of the game (the initial iteration is 0), the color of... | 24,782 |
Music Macro Language (MML) is a language for textual representation of musical scores. Although there are various dialects of MML, all of them provide a set of commands to describe scores, such as commands for notes, rests, octaves, volumes, and so forth.
In this problem, we focus on rests, i.e. intervals of silence. ... | 24,783 |
You are given nonnegative integers a and b (a ≤ b), and a positive integer x. Among the integers between a and b, inclusive, how many are divisible by x?
Constraints
* 0 ≤ a ≤ b ≤ 10^{18}
* 1 ≤ x ≤ 10^{18}
Input
The input is given from Standard Input in the following format:
a b x
Output
Print the number of th... | 24,784 |
Madhav went to Riya's Birthday Party. He was a geek so he had no idea regarding which gift she'l like.
So he took an array of integers with him. The array followed a particular order.
First element of array is 1.
Second element of array is 6.
Other elements of the array are two less than the mean of the number precedin... | 24,785 |
Subodh's CS department has been continuously organizing mock placement drives for students. If a student under-performs negative point is rewarded otherwise positive points is rewarded. The HOD wants to find consistency of a student. So, he wants to find out maximum consistent sum of a student score only if his/her ove... | 24,786 |
A breakthrough among computer games, "Civilization XIII", is striking in its scale and elaborate details. Let's take a closer look at one of them.
The playing area in the game is split into congruent cells that are regular hexagons. The side of each cell is equal to 1. Each unit occupies exactly one cell of the playin... | 24,787 |
The R1 company wants to hold a web search championship. There were n computers given for the competition, each of them is connected to the Internet. The organizers believe that the data transfer speed directly affects the result. The higher the speed of the Internet is, the faster the participant will find the necessar... | 24,788 |
For a given prime integer p and integers α, A calculate the number of pairs of integers (n, k), such that 0 ≤ k ≤ n ≤ A and <image> is divisible by pα.
As the answer can be rather large, print the remainder of the answer moduly 109 + 7.
Let us remind you that <image> is the number of ways k objects can be chosen fro... | 24,789 |
The University of Aizu has a park covered with grass, and there are no trees or buildings that block the sunlight. On sunny summer days, sprinklers installed in the park operate to sprinkle water on the lawn. The frog Pyonkichi lives in this park. Pyonkichi is not good at hot weather, and on summer days when the sun is... | 24,790 |
There is a local shop in your area getting prepared for the great holiday of Black Friday. There are n items with prices p_1, p_2, ..., p_n on the display. They are ordered by price, so p_1 ≤ p_2 ≤ ... ≤ p_n.
The shop has a prechosen discount value k. The Black Friday discount is applied in the following way: for a si... | 24,791 |
Andrew's favourite Krakozyabra has recenly fled away and now he's eager to bring it back!
At the moment the refugee is inside an icy cave with n icicles dangling from the ceiling located in integer coordinates numbered from 1 to n. The distance between floor and the i-th icicle is equal to ai.
Andrew is free to choos... | 24,792 |
Problem description:
Faizaan and Sejal were playing Mathematics games. Faizaan gave Sejal three numbers: N, M and K. Sejal has to find out a number X such that
X = (N^M)%K
Sejal initially thought that the problem was very easy, but she soon realised that N and M were very huge numbers. Help Sejal find out X.
Note: A^... | 24,793 |
How many ways are there to place a black and a white knight on an N * M chessboard such that they do not attack each other? The knights have to be placed on different squares. A knight can move two squares horizontally and one square vertically, or two squares vertically and one square horizontally. The knights attack ... | 24,794 |
Chef and Roma are playing a game. Rules of the game are quite simple.
Initially there are N piles of stones on the table.
In each turn, a player can choose one pile and remove it from the table.
Each player want to maximize the total number of stones removed by him.
Chef takes the first turn.
Please tell Chef the max... | 24,795 |
You are given a straight half-line divided into segments of unit length, which we will call positions. The positions are numbered by positive integers that start with 1 from the end of half-line, i. e. 1, 2, 3 and so on. The distance between the positions is the absolute difference between the respective numbers.
Lah... | 24,796 |
Dr .: Peter. I did.
Peter: See you again? What kind of silly invention is this time?
Dr .: You invented the detector for that phantom elementary particle axion.
Peter: Speaking of Axion, researchers such as the European Organization for Nuclear Research (CERN) are chasing with a bloody eye, aren't they? Is that true... | 24,797 |
Welcoming autumn evening is the best for walking along the boulevard and n people decided to do so.
The boulevard can be represented as the axis Ox. For every person there are three parameters characterizing the behavior: ti, si, fi — the moment of time when the i-th person starts walking, the start point and the end ... | 24,798 |
Alex decided to go on a touristic trip over the country.
For simplicity let's assume that the country has n cities and m bidirectional roads connecting them. Alex lives in city s and initially located in it. To compare different cities Alex assigned each city a score w_i which is as high as interesting city seems to A... | 24,799 |
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